Year: 2026
Type: preprint
Abstract: In this paper, we construct new sign-changing solutions for the Hénon problem \begin{equation*} \begin{cases} -Δu= |x|^α |u|^{p-1}u,\,\,\,\text{in}\,\,\, Ω, \\[1mm] u=0,\,\,\,\,\,\,\text{on}\,\,\, \partialΩ, \end{cases} \end{equation*} where $Ω\subseteq \mathbb{R}^2$ is a bounded smooth domain containing 0, $α\in\mathbb{R}$ is a positive parameter and $p$ approaches $+\infty$.
Source: arXiv (Cornell University)
Authors: Gladiali, Francesca, Yang, Pingping
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G2971504390, G8097609347
OpenAlex ID: W7203712819
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